SOLUTION: How would I solve this equation? {{{ sqrt ( 4x+13 )= 2x-1 }}}

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Question 707326: How would I solve this equation?
+sqrt+%28+4x%2B13+%29=+2x-1+
Answer by vheroli(126) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt+%28+4x%2B13+%29=+2x-1+
++4x%2B13+=+%282x-1%29%5E2+
++4x%2B13+=+%282x-1%29%282x-1%29+
++4x%2B13+=++4x%5E2-4x%2B1++++
++4x%2B4x-4x%5E2+=++%2B1-13++++
++-4x%5E2%2B8x+=++-12++++
++-4x%5E2%2B8x%2B12+=0++++
++%28-4x%5E2%2B8x%2B12%29%2F4+=0%2F4++++
++-x%5E2%2B2x%2B3+=0++++
Factor out:
(-x+3)(x+1)
Thus:
First zero:
-x+3=0
-x=-3
x=3
Second Zero:
x+1=0
x=-1